Sublinear operators on Herz-Hardy spaces with variable exponents

被引：9
|
作者：
Ho, Kwok-Pun [1 ]
机构：
[1] Educ Univ Hong Kong, Dept Math & Informat Technol, Tai Po, 10 Lo Ping Rd, Hong Kong, Peoples R China
来源：
MATHEMATISCHE NACHRICHTEN | 2022年 / 295卷 / 05期
关键词：
extrapolation; Hardy space; Herz spaces; Littlewood-Paley functions; Marcinkiewicz integrals; multipliers; sublinear operators; variable exponent; MAXIMAL-FUNCTION; LEBESGUE SPACES; WEIGHTED HARDY; BOUNDEDNESS; EXTRAPOLATION; INTERPOLATION; FACTORIZATION; INTEGRALS;
D O I：
10.1002/mana.202000161
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish the mapping properties of sublinear operators on Herz-Hardy spaces with variable exponents. We obtain these mapping properties by extending the extrapolation theory to Herz-Hardy spaces with variable exponents. In particular, we study the mapping properties of the multiplier operators, the Littlewood-Paley functions and the parametric Marcinkiewicz integrals on the Herz-Hardy spaces with variable exponents.
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页码：876 / 889
页数：14
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